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There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.

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In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

m∠Q and m∠S.

According to angle sum property

P∠Q=180−∠P

∠Q=180−108

[tex]\boxed{\sf{\angle Q = 72°}}[/tex]

For angle S

∠S=180−∠R

∠S=180−53

[tex]\boxed{\sf {\angle S = 127°}}[/tex]

[tex]\maltese\bold {lucky75} \maltese[/tex]

Answer:

Step-by-step explanation:

In □PQRS side PQ∥ side RS

so m∠P and  m∠S are interior angle pair which add to 180degree

given  m∠P = 108degree

m∠S = 180 - 108 = 72degree

similarly m∠R and  m∠Qare interior angle pair which add to 180degree

given  m∠R = 53degree

m∠S = 180 - 53 = 127degree

Answer:

Volume:3000  Surface Area:1300

Step-by-step explanation:

To find the volume of a rectangular prism you times the length times the width and times the height which will give 3000. For the surface area it is 2(w(l)+h(l)+h(w)) which will equal to 1300. The length is 15, the width is 20, and the height is 10. Hope this helps!

The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.

It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.

On this note, since the quotient which is to be maximised is hypothetically; x / y;

To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.

On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;

10 / (2 / 5)

= ( 10 × 5 ) / 2

= 25.

Ultimately, the greatest possible quotient as required is; 25.

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Answer:

2n - 8 is your answer

Step-by-step explanation:

The value of a is  -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.

The given equation is 2x^2 + x -a  = 5.

let's try to understand what is an equation.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,

The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.

There are many different kinds of equations, including cubic, quadratic, and linear equations.

There are many distinct sorts of equations, depending on the degree of the equation.

2x^2 + x -a  = 5. put x = 0.

2*0 + 0 - a  = 5

0 + 0 -a = 5

-a =5

a = -5.

So the value of a is -5.

Given Question is incomplete complete question here:

What should be the value of a if the value of 2x^2+x - a equals to 5

when x = 0?

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Answer:

The answer is the last option

Square root 8

Step-by-step explanation:

Answer:

r≈7.29

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=√A /π=√167/ π≈7.29094

The design has a total area of 116 cm² when measured using the area of a square.

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Create a square on paper by using a pencil.

Two dimensions make it up.

A shape's area on paper is the space it takes up.

Given that a square has equal sides, we can calculate its area as follows:

A = s²

The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.

Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.

Inferring the area of a square, the total area would be as follows:

Total Area = 4² + 6² + 8²

Total Area = 116 cm²

Therefore, the design has a total area of 116 cm² when measured using the area of a square.

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the length of side x = 12.5.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, we have,

From the given figure, we get.

These two figures are similar.

so, we have,

8/x=y/5 ............(1)

10/15=4/z ......(2)

8/15=y/z .....(3)

Solving we get,

x=12.5

Hence,  the length of side x = 12.5.

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Answer:

0

Step-by-step explanation:

48 - 4(12)

48 - 48 = 0

Answer:

The value of x - 4y would be 0.

Step-by-step explanation:

Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. [tex]x-4y[/tex] = [tex]48 - 4 * 12[/tex] = [tex]48 - 48[/tex] = 0, so that is the correct answer.

Answer:

D 11/18 11:18 11 to 18

Step-by-step explanation:

Because there are eleven technicians, our numerator is 11. Then, because there are 18 total helpers our denominator is 18.

Answer:

Rate of change = 2 & Initial value = -1

Answer:

acute

Step-by-step explanation:

since a full triangle is 180, angles K and L must be 90 when put TOGETHER so each one would have to be less than 90 :)

Answer:

Acute

Step-by-step explanation:

Since a triangle adds up to 180 subtract 90. this leaves you with 90 and since there are two angles it has to be less than 90 which is an acute angle

Hope this helps!

Answer:

45 cm²

Step-by-step explanation:

area = ½×11×13×sin 39°

= 71.5 × 0.6294

= 45 cm²

Answer:

y = 2x+ 3

Step-by-step explanation:

Answer:

x = 228

Step-by-step explanation:

pretty simple

Answer:

i'm pretty sure its C-228

Answer:

47

Step-by-step explanation:

4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74

47 + 74 = 121 so 47 is the original number.

Answer:

x= 95 duhhhhhhh lol jk but its 95

Step-by-step explanation:

Answer:

x = 95° by the Vertical Angles are congruent theorem

Hope this helps!

Answer:

16.74

Step-by-step explanation:

30° =  angle DAE

Step-by-step explanation:                      

We have ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.

 if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB

60   =  15  + angle DAE + 15

60  = 30 + angle DAE
30° =  angle DAE  

Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.  

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The question is incomplete. The complete question is :

Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?

Solution :

The sign is a negative sign and it represents the money which is debt.

In the question, it is given that Quiana had taken a loan of -$ 15,234.68

This amount of money will be returned to the lender from Quiana which is the debt of Quiana.

The negative sign(-) was inserted before the money that Quiana had borrowed. It represents the money of debt that Quiana owes and this amount is to be returned to the lender by Quiana.

Answer:

Step-by-step explanation:

The sign of the number is negative (-$15,234.68). The negative sign indicates that the loan is a debt. Money will be leaving Quiana’s bank account as she repays the loan.

Answer:

the answer would be letter B

Answer:

jason: 60mph

marie: 50mph

Step-by-step explanation:

let jason drive at x miles per hour

let marie drive at x-10 miles per hour

let jason drive for y hours

let marie drive for y+1 hours

distance = speed * time

for jason:

300 = x * y

for marie:

300 = (x-10) * (y+1) = x*y + x - 10y -10

300 = x*y

divide both sides by x to solve for y

300/x = y

plug this into the second equation

300 = (x-10) * (300/x+1) = 300 -3000/x +x -10

300 = 300 -3000/x +x -10

subtract 300 from both sides

0 = -3000/x + x - 10

multiply both sides by x to get rid of the denominator

0 = x^2 -10x -3000

factor

0 = x^2 - 60x +50x -3000

0 = x(x-60) + 50(x-60) = (x+50)(x-60)

x = 60 or -50

x cannot be negative so x = 60mph

marie = 60-10 = 50mph

Answer:

Yes

Step-by-step explanation:

the factors of (x^ 2 +9x+20) are (x+4)(x+5)

An angle that measures 120 degrees is called an obtuse angle.

An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.

An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.

It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.

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Answer:

1) 6

2) 9

3) improper.

Step-by-step explanation:

I hope this helps!

Answer:

Q2) 9

explanation:6/1 / 2/3

Applying the fractions formula for division,

6 x 3

1 x 2

18/2 simplyfy 9

Q3)improper fraction

Answer:

3$

Step-by-step explanation:

∴In 1 day, he sells 100 onions

∴In 30 days, he sells (100×30) onions

                                   =3000 onions

Again,

∴Selling 3000 onions, he gets 1000$

∴Selling 1 onion, he gets (3000÷1000)$

                                          =3$

Hope this helps<3

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